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Finding the Fourth Proportional to 200,303.88, 300,447.84 and 50,542.16

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Solution

The fourth proportional to 200,303.88, 300,447.84 and 50,542.16 is: 75,811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,303.88 : 300,447.84 = 50,542.16 : x
  2. Step 2: Convert to fraction form
    200,303.88/300,447.84 = 50,542.16/x
  3. Step 3: Cross multiply
    200,303.88x = 300,447.84 × 50,542.16
  4. Step 4: Simplify right side
    200,303.88x = 15,185,282,800.93
  5. Step 5: Solve for x
    x = 15,185,282,800.93/200,303.88
  6. Step 6: Final answer
    x = 75,811.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.